For each inequality draw a number line and show all points that satisfy it.

Answer:

C

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

3×60=180

180÷45=4

4-3=1

Answer: The required z-score = 1.25

Step-by-step explanation:

Let x be a random variable that denotes the scores in the exam.

The formula for z-score = [tex]\dfrac{X-\text{mean}}{\text{standard deviation}}[/tex]

As per given, we have

X= 625, mean=500, standard deviation = 100

Z-score = [tex]\dfrac{625-500}{100}[/tex]

i.e. Z-score = [tex]\dfrac{125}{100}[/tex]

i.e. Z-score =1.25

Hence, the required z-score = 1.25

Answer:

One of the angles is 42 degrees the other one is the same.

To find the missing angle you need to subtract the 2 angles with 90 and what you get is the missing angle so

42 - 42 - 90 = 90

I believe this is the right answer my bad if its not

Answer:

(a) x=1.5 or  x=-4.5

(b) x=-1

(c) x=10  or  [tex]x=\frac{4}{3}[/tex]

Step-by-step explanation:

(a) |2x+3|=6

⇒ 2x+3=6  or  2x+3=-6

⇒ 2x=3 or  2x=-9

⇒ x=1.5 or  x=-4.5

(b) |x-2|=x+4

⇒ x-2=x+4  or  x-2=-(x+4)

x-2=x+4  

-2≠4 x∈Ф

or  x-2=-(x+4)

x-2=-x-4

2x=-2

x=-1

(c) |2x-7|=|x+3|​

⇒ 2x-7=x+3  or  2x-7=-(x+3)

2x-7=x+3

x=10

or  2x-7=-(x+3)

2x-7=-x-3

3x=4

[tex]x=\frac{4}{3}[/tex]

The solutions of modulus equations are shown below:

(a) x=1.5 or x=-4.5

(b) x=-1

(c) x=10 or x=4/3  

Step-by-step explanation:

(a) |2x+3|=6

⇒ 2x+3=6 or  2x+3=-6

⇒ 2x=3 or 2x=-9

⇒ x=1.5 or x=-4.5

(b) |x-2|=x+4

⇒ x-2=x+4 or  x-2=-(x+4)

⇒x-2=x+4  

⇒-2≠4 x∈Ф

or  x-2=-(x+4)

⇒x-2=-x-4

⇒2x=-2

⇒x=-1

(c) |2x-7|=|x+3|​

⇒ 2x-7=x+3 or  2x-7=-(x+3)

⇒2x-7=x+3

⇒x=10

or 2x-7=-(x+3)

⇒2x-7=-x-3

⇒3x=4

⇒x=4/3

Therefore, the solution of modulus equation are as:

(a) x=1.5 or x=-4.5

(b) x=-1

(c) x=10 or x=4/3  

To learn more about "Modulus function" here:

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Answer:

Ron has 15 nickels and 9 quarters

Step-by-step explanation:

Create a system of equations where n is the number of nickels and q is the number of quarters he has:

n + q = 24

0.05n + 0.25q = 3

Solve by elimination by multiplying the top equation by -0.25

-0.25n - 0.25q = -6

0.05n + 0.25q = 3

Add them together and solve for n:

-0.2n = -3

n = 15

So, Ron has 15 nickels. Find how many quarters he has by subtracting 15 from 24:

24 - 15

= 9

So, Ron has 15 nickels and 9 quarters.

Answer:

A general linear function can be written as:

y = a*x + b

Where a is the slope and b is the y-intercept (the point at which the line intersects the y-axis).

In this case, we know that the line should intersect the y-axis (the vertical one) at y = 3 (in the point (0, 3))

And the slope is -3, then the equation of the line is:

y = -3*x + 3

To graph this line the general way is to find two points of the line.

So we need to evaluate the function in two different values of x.

In this case, we already know that the line passes through the point (0,3), then we only need to find another point.

To do it, we can just replace the x-value for a value we want, like x = 1

Then the y-value will be:

y = -3*(1) + 3 = -3 + 3 = 0

Then we also have the point (1, 0).

Now that we have two points, we can graph them and draw a line that connects the point, that line is the graph of our linear equation.

An example of this can be seen below.

Answer:

D + 550 = X

The band accounted for 25% of the budget.

Step-by-step explanation:

Since Fairfield High spent D dollars for refreshments, decorations, and advertising for a dance, and in addition, they hired a band for $ 550, to write an expression that represents the cost of the band as a fraction of the total amount spent for the school dance and determine, if D is $ 1650, what percent of the budget did the band account for, the following calculations must be performed:

D + 550 = X

D = 1650

1650 + 550 = X

2200 = X

2200 = 100

550 = X

550 x 100/2200 = X

55,000 / 2,200 = X

25 = X

Therefore, the band accounted for 25% of the budget.

Answer: 2/3

Step-by-step explanation:

Rise over run shows it on average goes up 2 and over 3. 2 on top for rise, 3 on bottom for run. Hope it helps! Don't click on shady links

Answer: I think the answer would be B) 10.0

Answer:

Step-by-step explanation:

If two lines have different slopes, they cannot be the same line. If they share a y-intercept, that means they cross the y -axis at the same y value.  If they share an x value and corresponding y value, they intersect at that point, in this case their y-intercept.

Hope this helped!!

Answer:

3,0

Step-by-step explanation:

From the table we can say that the point which is residual plot of the data is (3,0).

Residual plot shows the difference between observed and fitted values of the data. It is also known as null residual plot. In this random values in data is taken.

We have been given the following table:

Age          Value             Predicted                           Residual

1                  15                  14.8                                      0.2

2                 12                  11.9                                       0.1

3                 9                   9                                           0

4                 5                    6.1                                         1.1

5                 4                    3.2                                        0.8

If we observe the table then we can find that the third row of fourth column contains 0 so the point which is residual plot of the data is (3,0).

Hence the point which contains the residual plot of the data is (3,0).

Learn more about two residual plot at https://brainly.com/question/16821224

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Answer:

The null hypothesis is that there is no difference in the mean number of male and female cats

H₀; μ₂ - μ₁ = 0

Step-by-step explanation:

The given parameters are;

The given percentage of male stray cat population = 50%

The given percentage of female stray cat population = 50%

The number of areas the researcher visits, n = 15

The number of stray male cats he finds = 11

The kind of test to be performed = Sign test

The significance level, α = 0.05

A) Therefore the null hypothesis is H₀; μ₂ - μ₁ = 0

The alternative hypothesis is Hₐ; μ₂ - μ₁ ≠ 0.

Answer: b≤3

Step-by-step explanation:

Answer:

3 ≥ b

Step-by-step explanation:

You need to work this out like an algebraic equation

So think of it like this...

9 = 3b

9/3 = 3b/3

3=b

Add the symbol back into the equation

And you get: 3 ≥ b

Answer:

D

Step-by-step explanation:

Answer:

37 miles per gallon

Step-by-step explanation:

Ratios:

[tex]\frac{166.5}{4.5} =\frac{x}{1} \\\\4.5x=166.5\\x=37[/tex]

Answer:

81

Step-by-step explanation:

dude, it's one of the fast facts

Answer:

81

Step-by-step explanation:

We can round one of the 9's to ten then multiply it

9*10=90

then subtract the 9 that we added

90-9=81

Answer:

3, 6, 4, 5

Step-by-step explanation:

First of all we have to multiply 2 by 2x and -9 and we obtain

4x -18 ≤ 6

now we have to move -18 on the right side of the minor or equal and change its sign

4x ≤ 6 + 18

now we have to added up 6 and 18

4x ≤ 24

At least we have to divide the the two members by 4

x ≤ 6

We have to find the numbers ≤ 6

so the answer is : 3, 6, 4, 5

Answer:

click on 3,6,4,5 are less than or equal to 6

Step-by-step explanation:

2(2×3-9)= -6

2(2×6-9)= 6

2(2×4-9)= -2

2(2×5-9)= 2

2(2×7-9)= 10

Answer:

2.25

9÷4

Step-by-step explanation:

Answer:

B) -6.5625

9/16 is equal to 0.5625

Answer:

-6.5625

Step-by-step explanation:

Answer:

170240

Step-by-step explanation:

Answer:

mean:-3

median:5

mode: all values appeared once  

range:169

Step-by-step explanation:

Answer:

47

Step-by-step explanation:

Answer:

-8/7 is your simplified answer :)

Step-by-step explanation:

Have a nice day <3